NAME ________________________________________ Period ____ Date ____________
Chapter 11- REVIEW
GEOMETRY
1. This net could be folded into a ________.
A. tetrahedron
B. square pyramid
C. square prism
D. triangular prism
2. Find the surface area of a rectangular prism with a
length of 8 inches, a width of 5 inches, and a height of 2
inches.
A. 15 in2
C. 80 in2
B. 66 in2
D. 132 in2
2
2
(SA=734.0 cm
3
V=1050.0 cm )
(SA=628.3 ft
3
V=1005.3 ft )
3. Paint roller A has a length of 1 ft and a diameter of 2 in.
Paint roller B has a length of 8 in. and a diameter of 3 in.
Which roller can spread more paint on a wall in one
revolution? Explain, and give your calculations.
2
(The lateral area of a paint roller determines the amount of paint it can
spread on a wall in one revolution. Because the lateral area of roller A is
24 in.2 and the lateral area of roller B is 24 in.2, they both spread the
same amount of paint in one revolution.)
(#4 to #9)Find the volume and surface area of each figure
to the nearest tenth.
(SA=113.1 m
3
V=113.1 cm )
10. Refer to the figure at the right.
a. Describe the figure that is formed when
rectangle ABCD is rotated about the x-axis.
b. What is its volume? (12 unit3)
(SA=360.0 cm
3
V=400.0 cm )
2
2
(SA=226.2 in.
3
V=254.5 in. )
c. What is its lateral area? (12 unit2)
2
(SA=174.0 cm
3
V=119.0 cm )
15. Two cylinders are similar, with surface areas of 25 cm2
11. a. What space figures can you use
and 49cm2. If the smaller cylinder has a volume of 50
cm3, what is the volume of the larger cylinder? (137.2 cm3)
to approximate the shape of the
ice cream cone?
b. Find the entire figure’s surface area to the nearest tenth.
(251.3cm2)
Find the surface area and volume of each figure to the
nearest tenth.
12. Which has a greater volume: two regular cans of soup,
each with a diameter of 7 cm and a height of 11 cm, or one
family-size can of soup, which has a diameter of 10 cm and a
height of 11 cm? Explain, and give your calculations.
(Two regular cans of soup each have a volume of 423.3 cm3 for a total of
846.7 cm3.The single family-size can with its volume of 863.9 cm3 is
larger than the total volume of the two regular cans.)
2
(SA=603.2 m
3
V=1,206.4 m )
2
(SA=3,327.7 cm
3
V=12,250.6 cm )
13. Two similar cones have heights of 9 cm and 4 cm. Find
the ratio of their volumes. (729 : 64)
18. The surface area of a right cylinder is 324 cm2. If the
14. Two similar solids have volumes of 27 cm3 and 8 cm3.
Find the ratio of their surface areas. (9 : 4)
radius and height are equal, find the length of the diameter.
(18 cm)